Details

Time bar (total: 14.0s)

sample28.0ms

Algorithm
intervals
Results
12.0ms258×body80valid

simplify27.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09165
114140
219140
321140
423140
525140
626140
done26140

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify3.0s

Counts
13 → 13
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0222252
1302177
2542177
31622177
46772177
534172177
done50002177

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
16.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series744.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
175.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
176.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
175.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: done (1.7s)

IterNodesCost
016441047
140535000
2155034535
done500033175

prune457.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
170.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
124.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
165.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify2.6s

Counts
64 → 64
Iterations

Useful iterations: done (2.6s)

IterNodesCost
08530828
119025648
261025168
3298123888
done500122480

prune520.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series594.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
158.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
141.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
145.0ms
(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify2.4s

Counts
64 → 64
Iterations

Useful iterations: done (2.4s)

IterNodesCost
08530828
119025648
261025168
3298123888
done500122480

prune393.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08140
done8140

end0.0ms

sample431.0ms

Algorithm
intervals
Results
318.0ms8009×body80valid
0.0ms2×body1280valid